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681082560 = 26335174637
BaseRepresentation
bin101000100110000…
…111111011000000
31202110120120122000
4220212013323000
52343324120220
6151325544000
722610051304
oct5046077300
91673516560
10681082560
1131a4a9454
12170115000
13ab147942
1466651d04
153ebd7390
hex28987ec0

681082560 has 224 divisors, whose sum is σ = 2544592320. Its totient is φ = 170901504.

The previous prime is 681082559. The next prime is 681082561. The reversal of 681082560 is 65280186.

It is a happy number.

681082560 is a `hidden beast` number, since 6 + 8 + 10 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (681082559) and next prime (681082561).

It is a super-3 number, since 3×6810825603 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681082561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144562 + ... + 149198.

Almost surely, 2681082560 is an apocalyptic number.

681082560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272296160).

681082560 is an abundant number, since it is smaller than the sum of its proper divisors (1863509760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681082560 is a wasteful number, since it uses less digits than its factorization.

681082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 681082560 is about 26097.5585064964. The cubic root of 681082560 is about 879.8323372039.

The spelling of 681082560 in words is "six hundred eighty-one million, eighty-two thousand, five hundred sixty".